Number of documents

## 29

### Journal articles23 documents

• Emmanuel Chasseigne, Olivier Ley, Thi-Tuyen Nguyen. A Priori Lipschitz Estimates for Solutions of Local and Nonlocal Hamilton-Jacobi Equations with Ornstein-Uhlenbeck Operator. Revista Matemática Iberoamericana, European Mathematical Society, 2019, 35 (5), pp.1415-1449. ⟨10.4171/RMI/1093⟩. ⟨hal-01515409⟩
• Emmanuel Chasseigne, Naoyuki Ichihara. Ergodic problems for viscous Hamilton-Jacobi equations with inward drift. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2019, 57 (1), pp.23-52. ⟨10.1137/18M1179328⟩. ⟨hal-01864453⟩
• Cristina Brândle, Emmanuel Chasseigne. ON UNBOUNDED SOLUTIONS OF ERGODIC PROBLEMS FOR NON-LOCAL HAMILTON-JACOBI EQUATIONS. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2019, 180, pp.94-128. ⟨hal-01864454⟩
• Guy Barles, Ariela Briani, Emmanuel Chasseigne, Cyril Imbert. Flux-limited and classical viscosity solutions for regional control problems. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2018, 24, pp.1881-1906. ⟨10.1051/cocv/2017076⟩. ⟨hal-01392414⟩
• Emmanuel Chasseigne, Espen Jakobsen. On nonlocal quasilinear equations and their local limits. Journal of Differential Equations, Elsevier, 2017, 262 (6), pp.3759-3804. ⟨hal-01134618v2⟩
• Emmanuel Chasseigne, Naoyuki Ichihara. Qualitative properties of generalized principal eigenvalues for superquadratic viscous Hamilton-Jacobi equations. Nonlinear Differential Equations and Applications, Springer Verlag, 2016, 23, pp.1-17. ⟨hal-01291015⟩
• Guy Barles, Ariela Briani, Emmanuel Chasseigne, Nicoletta Tchou. Homogenization Results for a Deterministic Multi-domains Periodic Control Problem. Asymptotic Analysis, IOS Press, 2015, 95 (3-4), pp.243-278. ⟨10.3233/ASY-151322⟩. ⟨hal-00986700⟩
• G Barles, Emmanuel Chasseigne. (Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2015, 10 (4), pp.809-836. ⟨hal-01097167v3⟩
• Emmanuel Chasseigne, Raul Ferreira. Isothermalization for a Non-local Heat Equation. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2014, 13, pp.1-18. ⟨hal-00441672v2⟩
• Emmanuel Chasseigne, Patricio Felmer, J. Rossi, Erwin Topp. Fractional decay bounds for nonlocal zero order heat equations. Bulletin of the London Mathematical Society, London Mathematical Society, 2014, 46, pp.943-952. ⟨10.1112/blms/bdu042⟩. ⟨hal-00843685⟩
• Guy Barles, Ariela Briani, Emmanuel Chasseigne. A Bellman approach for regional optimal control problems in $\R^N$. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2014, 52 (3), pp.1712-1744. ⟨hal-00825778v2⟩
• Guy Barles, Emmanuel Chasseigne, Christine Georgelin, Espen Jakobsen. On Neumann Type Problems for nonlocal Equations set in a half Space. Transactions of the American Mathematical Society, American Mathematical Society, 2014, 366 (9), pp.4873-4917. ⟨hal-00646379⟩
• Guy Barles, Emmanuel Chasseigne, Adina Ciomaga, Cyril Imbert. Large Time Behavior of Periodic Viscosity Solutions for Uniformly Parabolic Integro-Differential Equations. Calc. Var. Partial Differential Equations, 2014, 50 (1-2), pp.283-304. ⟨10.1007/s00526-013-0636-2⟩. ⟨hal-00743751⟩
• Cristina Brändle, Emmanuel Chasseigne. Large Deviations estimates for some non-local equations. General bounds and applications. Transactions of the American Mathematical Society, American Mathematical Society, 2013, 365, pp.3437-3476. ⟨hal-00414225v2⟩
• Emmanuel Chasseigne, Silvia Sastre-Gomez. A nonlocal two-phase Stefan problem. Differential and integral equations, Khayyam Publishing, 2013, 26, pp.1235-1434. ⟨hal-00841416⟩
• Guy Barles, Ariela Briani, Emmanuel Chasseigne. A Bellman approach for two-domains optimal control problems in $\R^N$. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2013, 19 (3), pp.710-739. ⟨hal-00652406v3⟩
• Guy Barles, Emmanuel Chasseigne, Adina Ciomaga, Cyril Imbert. Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations. Journal of Differential Equations, Elsevier, 2012, 252 (11), pp.6012-6060. ⟨10.1016/j.jde.2012.02.013⟩. ⟨hal-00608848v2⟩
• Cristina Brändle, Emmanuel Chasseigne, Fernando Quirós. A nonlocal one-phase Stefan problem that develops mushy regions. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2012, 44 (4), pp.3071-3100. ⟨10.1137/110849365⟩. ⟨hal-00626418⟩
• Cristina Brändle, Emmanuel Chasseigne, Raul Ferreira. Unbounded solutions of the nonlocal heat equation. Communications on Pure and Applied Analysis, AIMS American Institute of Mathematical Sciences, 2011, 10, pp.1663-1686. ⟨hal-00447374v2⟩
• Guy Barles, Emmanuel Chasseigne, Cyril Imbert. Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations. Journal of the European Mathematical Society, European Mathematical Society, 2011, 13, pp.1-26. ⟨10.4171/JEMS/242⟩. ⟨hal-00179690v2⟩
• Cristina Brändle, Emmanuel Chasseigne. Large Deviations estimates for some non-local equations I. Fast decaying kernels and explicit bounds. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2009, 71, pp.5572-5586. ⟨hal-00342145⟩
• Guy Barles, Emmanuel Chasseigne, Cyril Imbert. On the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equations. Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2008, 57 (1), pp.213-146. ⟨hal-00150151v3⟩
• Emmanuel Chasseigne. The Dirichlet problem for some nonlocal diffusion equations. Differential and integral equations, Khayyam Publishing, 2007, 20, pp.1389-1404. ⟨hal-00132526v2⟩

### Conference papers1 document

• Ariela Briani, Guy Barles, Emmanuel Chasseigne, Nicoletta Tchou. Un résultat d' homogénéisation pour une équation de Hamilton-Jacobi périodique sur un réseau hétérogéne. 5th Annual International Conference on Partial Differential Equations EDP-NORMANDIE 2015, Oct 2015, Le Havre, France. ⟨hal-01272724⟩

### Preprints, Working Papers, ...4 documents

• Emmanuel Chasseigne, Naoyuki Ichihara. Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton-Jacobi equations with inward drift. 2019. ⟨hal-02145102⟩
• Guy Barles, Emmanuel Chasseigne. An Illustrated Guide of the Modern Approches of Hamilton-Jacobi Equations and Control Problems with Discontinuities. 2018. ⟨hal-01962955v2⟩
• Guy Barles, Emmanuel Chasseigne. Corrigendum to " (Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains ". 2017. ⟨hal-01591473v2⟩
• Guy Barles, Emmanuel Chasseigne. On the regularizing effect for unbounded solutions of first-order Hamilton-Jacobi equations. 2015. ⟨hal-01214425⟩

### Habilitation à diriger des recherches1 document

• Emmanuel Chasseigne. ÉQUATIONS AUX DÉRIVÉES PARTIELLES, ÉQUATIONS NON-LOCALES ET CONTRÔLE OPTIMAL DÉTERMINISTE.. Equations aux dérivées partielles [math.AP]. Université François Rabelais - Tours, 2014. ⟨tel-01411482⟩